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International Journal of Mathematics and Mathematical Sciences 
Volume 2006 (2006), Article ID 29135, 10 pages
doi:10.1155/IJMMS/2006/29135

A density result in vector optimization

Alexander J. Zaslavski

Department of Mathematics, The Technion-Israel Institute of Technology, Haifa 32000, Israel

Received 21 November 2005; Revised 2 March 2006; Accepted 12 March 2006

Abstract

We study a class of vector minimization problems on a complete metric space such that all its bounded closed subsets are compact. We show that a subclass of minimization problems with a nonclosed set of minimal values is dense in the whole class of minimization problems.